TSTP Solution File: PUZ104^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PUZ104^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VyeVXHLpbu true

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 13:31:10 EDT 2023

% Result   : Theorem 0.22s 0.82s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   28 (  10 unt;   6 typ;   0 def)
%            Number of atoms       :   33 (   3 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  136 (  13   ~;  11   |;   7   &;  88   @)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   31 (   9   ^;  22   !;   0   ?;  31   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__4_type,type,
    sk__4: ( $i > $o ) > $i ).

thf(c1_type,type,
    c1: $i ).

thf(cCKB6_NUM_type,type,
    cCKB6_NUM: $i > $o ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(s_type,type,
    s: $i > $i ).

thf(sk__3_type,type,
    sk__3: $i > $o ).

thf(cCKB6_NUM_def,axiom,
    ( cCKB6_NUM
    = ( ^ [Xx: $i] :
        ! [Xp: $i > $o] :
          ( ( ( Xp @ c1 )
            & ! [Xw: $i] :
                ( ( Xp @ Xw )
               => ( Xp @ ( s @ Xw ) ) ) )
         => ( Xp @ Xx ) ) ) ) ).

thf('0',plain,
    ( cCKB6_NUM
    = ( ^ [Xx: $i] :
        ! [Xp: $i > $o] :
          ( ( ( Xp @ c1 )
            & ! [Xw: $i] :
                ( ( Xp @ Xw )
               => ( Xp @ ( s @ Xw ) ) ) )
         => ( Xp @ Xx ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[cCKB6_NUM_def]) ).

thf('1',plain,
    ( cCKB6_NUM
    = ( ^ [V_1: $i] :
        ! [X4: $i > $o] :
          ( ( ( X4 @ c1 )
            & ! [X6: $i] :
                ( ( X4 @ X6 )
               => ( X4 @ ( s @ X6 ) ) ) )
         => ( X4 @ V_1 ) ) ) ),
    define([status(thm)]) ).

thf(cCKB6_L4000,conjecture,
    ! [Xx: $i] :
      ( ( cCKB6_NUM @ Xx )
     => ( cCKB6_NUM @ ( s @ ( s @ Xx ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i] :
      ( ! [X6: $i > $o] :
          ( ( ( X6 @ c1 )
            & ! [X8: $i] :
                ( ( X6 @ X8 )
               => ( X6 @ ( s @ X8 ) ) ) )
         => ( X6 @ X4 ) )
     => ! [X10: $i > $o] :
          ( ( ( X10 @ c1 )
            & ! [X12: $i] :
                ( ( X10 @ X12 )
               => ( X10 @ ( s @ X12 ) ) ) )
         => ( X10 @ ( s @ ( s @ X4 ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i] :
        ( ! [X6: $i > $o] :
            ( ( ( X6 @ c1 )
              & ! [X8: $i] :
                  ( ( X6 @ X8 )
                 => ( X6 @ ( s @ X8 ) ) ) )
           => ( X6 @ X4 ) )
       => ! [X10: $i > $o] :
            ( ( ( X10 @ c1 )
              & ! [X12: $i] :
                  ( ( X10 @ X12 )
                 => ( X10 @ ( s @ X12 ) ) ) )
           => ( X10 @ ( s @ ( s @ X4 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X1: $i] :
      ( ( sk__3 @ ( s @ X1 ) )
      | ~ ( sk__3 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i > $o] :
      ( ( X0 @ sk__2 )
      | ~ ( X0 @ ( s @ ( sk__4 @ X0 ) ) )
      | ~ ( X0 @ c1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl61,plain,
    ( ~ ( sk__3 @ ( sk__4 @ sk__3 ) )
    | ~ ( sk__3 @ c1 )
    | ( sk__3 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    sk__3 @ c1,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i > $o] :
      ( ( X0 @ sk__2 )
      | ( X0 @ ( sk__4 @ X0 ) )
      | ~ ( X0 @ c1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9,plain,
    ( ( ^ [Y0: $i] :
          ( sk__3
          @ ( ^ [Y1: $i] : Y1
            @ Y0 ) )
      @ ( sk__4
        @ ^ [Y0: $i] :
            ( sk__3
            @ ( ^ [Y1: $i] : Y1
              @ Y0 ) ) ) )
    | ( ^ [Y0: $i] :
          ( sk__3
          @ ( ^ [Y1: $i] : Y1
            @ Y0 ) )
      @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl38,plain,
    ( ( sk__3 @ ( sk__4 @ sk__3 ) )
    | ( sk__3 @ sk__2 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl3_001,plain,
    ! [X1: $i] :
      ( ( sk__3 @ ( s @ X1 ) )
      | ~ ( sk__3 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3_002,plain,
    ! [X1: $i] :
      ( ( sk__3 @ ( s @ X1 ) )
      | ~ ( sk__3 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ~ ( sk__3 @ ( s @ ( s @ sk__2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    ~ ( sk__3 @ ( s @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).

thf(zip_derived_cl7,plain,
    ~ ( sk__3 @ sk__2 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).

thf(zip_derived_cl39,plain,
    sk__3 @ ( sk__4 @ sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl7]) ).

thf(zip_derived_cl4_003,plain,
    sk__3 @ c1,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7_004,plain,
    ~ ( sk__3 @ sk__2 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).

thf(zip_derived_cl134,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl39,zip_derived_cl4,zip_derived_cl7]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : PUZ104^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VyeVXHLpbu true
% 0.15/0.35  % Computer : n027.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sat Aug 26 22:44:05 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in HO mode
% 0.22/0.66  % Total configuration time : 828
% 0.22/0.66  % Estimated wc time : 1656
% 0.22/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.82  % Solved by lams/40_noforms.sh.
% 0.22/0.82  % done 11 iterations in 0.025s
% 0.22/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.82  % SZS output start Refutation
% See solution above
% 0.22/0.82  
% 0.22/0.82  
% 0.22/0.82  % Terminating...
% 1.54/0.88  % Runner terminated.
% 1.54/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------